perplexus.info :: Numbers : 2 neighbours create a square

2 neighbours create a square (Posted on 2021-08-19)

Concatenating two consecutive integers 183 and 184
we get a six-digit number 183184, equalling square of 428.
List similar pairs, below 500,000 (final product).

How about the same task with a pair of a consecutve numbers
in a decreasing order?
Please provide a similar list (same constraints).

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (2 votes)

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More solutions

| Comment 7 of 9 |

If we allow leading 0's, then there are more solutions for the descending case.

10^2=0100

100^2=00010000

1000^2=000001000000

...

Posted by Math Man on 2021-08-23 16:31:48

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